Entanglement combing

Abstract

We show that all multi-partite pure states can, under local operations, be transformed into bi-partite pairwise entangled states in a "lossless fashion": An arbitrary distinguished party will keep pairwise entanglement with all other parties after the asymptotic protocol - decorrelating all other parties from each other - in a way that the degree of entanglement of this party with respect to the rest will remain entirely unchanged. The set of possible entanglement distributions of bi-partite pairs is also classified. Finally, we point out several applications of this protocol as a useful primitive in quantum information theory.

5 pages, 1 figure, replaced with final version

References in corpus (3)

• Quantum information can be negative
• Entanglement of assistance and multipartite state distillation
• Random bipartite entanglement from W and W-like states

Cited by in corpus (12)

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• Optimal reducibility of all Stochastic Local Operation and Classical Communication equivalent W states
• Entanglement of assistance in three-qubit systems
• Quantum State Merging for Arbitrarily Small-Dimensional Systems
• Distillation of Greenberger-Horne-Zeilinger states by combinatorial methods
• Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
• New Protocols for Conference Key and Multipartite Entanglement Distillation
• Squashed quantum non-Markovianity: a measure of genuine quantum non-Markovianity in states
• Recovery of resources through sequential noisy measurements